Exact Penalization in Stochastic Programming—Calmness and Constraint Qualification
Keyword(s):
We deal with the conditions which ensure exact penalization in stochastic programming problems under finite discrete distributions. We give several sufficient conditions for problem calmness including graph calmness, existence of an error bound, and generalized Mangasarian-Fromowitz constraint qualification. We propose a new version of the theorem on asymptotic equivalence of local minimizers of chance constrained problems and problems with exact penalty objective. We apply the theory to a problem with a stochastic vanishing constraint.
2019 ◽
Vol 55
(3)
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pp. 309-318
2020 ◽
Vol 37
(04)
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pp. 2040018
1998 ◽
Vol 128
(5)
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pp. 1007-1022
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2017 ◽
Vol 27
(08)
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pp. 1391-1421
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2006 ◽
Vol 16
(11)
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pp. 3421-3433
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